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    Momentum diffusion, decoherence, and drag force on a magnetic nanoparticle

    Agya Sewara Alam*

    Anupam Mazumdar

    • Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, 9747 AG Groningen, The Netherlands

    • *Contact author: a.s.alam@rug.nl

    Phys. Rev. A 114, 023716 – Published 17 August, 2026

    DOI: https://doi.org/10.1103/zcxg-k9nn

    Abstract

    In this paper, we will provide a complete derivation of the decoherence rate for a magnetic nanoparticle in quantum superposition in the presence of the fluctuating electromagnetic field in a thermal background by using the fluctuation-dissipation theorem in the long-wavelength limit. The long-wavelength limit assumes that the superposition size is much smaller than the wavelength of the electromagnetic-field fluctuations. We will extend this computation to two diamagnetic nanoparticles kept in quantum superposition adjacent to each other. We will also show how the drag force on a single nanoparticle arises from external electromagnetic-field fluctuations and compare our results with those for the nanoparticle's dielectric properties.

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